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Finding the Third Proportional to 223,819 and 316,470

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Solution

The third proportional to 223,819 and 316,470 is: 447,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,819 : 316,470 = 316,470 : x
  2. Step 2: Convert to fraction form
    223,819/316,470 = 316,470/x
  3. Step 3: Cross multiply
    223,819x = 316,470 × 316,470
  4. Step 4: Simplify right side
    223,819x = 100,153,260,900
  5. Step 5: Solve for x
    x = 100,153,260,900/223,819
  6. Step 6: Final answer
    x = 447,474.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.